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Dynamically Stable Sets in Infinite Strategy Spaces

  • Thomas Norman

Evolutionary game theory has largely focused on finite games. Dynamic stability is harder to attain in infinite strategy spaces; Bomze (Monatshefte fur Mathematik 110, 1990, 189-206) and Oechssler and Riedel (Economic Theory 17, 2001, 141-162) provide conditions for the stability of rest points under the replicator dynamics. Here, conditions are given for the stability of sets of strategies under this process.

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File URL: http://www.economics.ox.ac.uk/materials/working_papers/paper251.pdf
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Paper provided by University of Oxford, Department of Economics in its series Economics Series Working Papers with number 251.

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Date of creation: 01 Dec 2005
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Handle: RePEc:oxf:wpaper:251
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  4. Bomze Immanuel M. & Weibull Jorgen W., 1995. "Does Neutral Stability Imply Lyapunov Stability?," Games and Economic Behavior, Elsevier, vol. 11(2), pages 173-192, November.
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